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If the arithmetic mean of the roots of x...

If the arithmetic mean of the roots of `x^(2)-2ax+b=0` is A and the geometric mean of the roots of `x^(2)-2bx+a^(2)=0` is G, then

A

A = G

B

`A gt G`

C

`G gt A`

D

`AG = a^(2)+b^(2)`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2007-MULTIPLE CHOICE QUESTIONS
  1. The sum of the infinite series 1+(1)/(|ul(2))+(1.3)/(|ul(4))+(1.3.5)/(...

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  2. Two mappings f : R to R and g : R to R are defined in the following wa...

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  3. If the arithmetic mean of the roots of x^(2)-2ax+b=0 is A and the geom...

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  4. Let y=a(1-cos theta), x = a(theta - sin theta). Then y regarded as a f...

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  5. Let I=int(-2)^(+2){x-[x]}dx when [x] represents the greatest integer n...

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  6. A particle moves according to the law s=t^(3)-9t^(2)+24t. The distance...

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  7. The value of int (1)/(e^(x)+e^(-x))dx is

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  8. If f'(2)=1, then lim(h to 0)(f(2+h)-f(2-h))/(2h) is equal to

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  9. Two fair dice are thrown. The probability that the sum of the numbers ...

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  10. The sum of all the coefficients in the expansion of (x^(2)+(1)/(x))^(n...

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  11. The domain of definition of the function f(x)=sin^(-1)(|x-1|-2) is

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  12. Using calculus, find the area bounded by the curve |x|+|y|=1.

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  13. The number of tangents that can be drawn from the point (6, 2) on the ...

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  14. The value of the integral int(1)^(e )(log x)^(2)dx is

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  15. The value of sum(r=1)^(5)(i^(r )-i^(r+1)) is, where i=sqrt(-1)

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  16. If (m, n) represent respectively the order and degree of the differnti...

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  17. The solution of the differential euation (dy)/(dx)=(x-y)/(x+y) is C...

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  18. The general solution of the equation ydx+(x+cos y)dy=0 is

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  19. The letters of the word 'TRIANGLE' are arranged in a row in all possib...

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  20. If in an infinite G.P. series, the first term is 'a' and the sum is 3,...

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